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Fractional Control of Legged Robots

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Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 2))

Abstract

Fractional calculus (FC) is being used in several distinct areas of science and engineering, being recognized its ability to yield a superior modelling and control in many dynamical systems. This article illustrates the application of FC in the area of robot control. A Fractional Order PDμ controller is proposed for the control of an hexapod robot with 3 dof legs. It is demonstrated the superior performance of the system by using the FC concepts.

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References

  1. Silva, M.F., Machado, J.A.T.: A historical perspective of legged Robots. J. Vib. Control 13(9–10), 1447–1486 (2007)

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  2. Silva, M.F., Machado, J.A.T., Lopes, A.M.: Comparison of Fractional and Integer Order Control of an Hexapod Robot. In: Proceedings of the VIB 2003 – ASME International 19th Biennial Conference on Mechanical Vibration and Noise. USA (2003)

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  3. Silva, M.F., Machado, J.A.T., Jesus, I.S.: Modelling and Simulation of Walking Robots With 3 dof Legs. In: Proceedings of the MIC 2006 – The 25th IASTED International Conference on Modelling, Identification and Control. Lanzarote, Spain (2006)

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  4. Silva, M.F., Machado, J.A.T.: Position/Force control of a walking Robot. MIROC Mach. Intell. Robot Control 5, 33–44 (2003)

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  5. Silva, M.F., Machado, J.A.T.: Kinematic and dynamic performance analysis of artificial legged systems. Robotica 26(1), 19–39 (2008)

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Correspondence to Manuel F. Silva .

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© 2011 Springer-Verlag Berlin Heidelberg

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Silva, M.F., Machado, J.A.T. (2011). Fractional Control of Legged Robots. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science II. Springer Proceedings in Mathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14788-3_48

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